Ok
#help-10
dapper wharf
kind hawk
otherwise it would be sec(t/2)
kind hawk
yes you have to get dt now
dapper wharf
Ugh tahts gonna be nasty
kind hawk
yeah it's really not nice
dapper wharf
How do u do it
kind hawk
well derivative of sec(t) should still be standard
kind hawk
well then derive it again. chain rule
dapper wharf
So uhh tan(t)sec(t)
kind hawk
yes
dapper wharf
So I derive this basically right
kind hawk
yes
dapper wharf
Is it (tan(x)sec(x))/2
kind hawk
dont forget the square
sqrt((sec(t)^2-1)/4)
now what do we get from the mentioned trig identity from earlier?
dapper wharf
ye
dapper wharf
now what do we get from the mentioned trig identity from earlier?
its tan^2
kind hawk
and now taking the sqrt ?
dapper wharf
tan(t)/2
kind hawk
ok
now lets do the bounds
if u=sec(t)/2 and u=1/2, what is t
if u=sec(t)/2 and u=3/2, what is t
obtuse pebbleBOT
@dapper wharf Has your question been resolved?
void gyro
how to do these
obtuse pebbleBOT
how to do these
dapper wharf
how to do these
use log
sage geode
Express 1/125 as a power of 5 for part a
dapper wharf
its used as fidning the power of smth
void gyro
Express 1/125 as a power of 5 for part a
i dont understand what you saying
void gyro
its used as fidning the power of smth
i think my school never teach me that
dapper wharf
just do log((base5)(1/125))=n
dapper wharf
i think my school never teach me that
its rlly simple
void gyro
lemme show u
ok thank you
dapper wharf
It’s the small number on the bottom
Put 5 in there
The one outside the bracket
That is called the base number
void gyro
dapper wharf
no
void gyro
;-; what do i do
dapper wharf
do it on wolfram alpha
void gyro
?
dapper wharf
void gyro
What if these sort of question pop up on my exam, what do i do?
polar locust
can someone pls help me to understand how to solve long division of polynomials:')
void gyro
can someone pls help me to understand how to solve long division of polynomials:...
sorry what is that
dapper wharf
can someone pls help me to understand how to solve long division of polynomials:...
In 10 min
void gyro
;-;
dapper wharf
can someone pls help me to understand how to solve long division of polynomials:...
lets see ur question
dapper wharf
What if these sort of question pop up on my exam, what do i do?
what year r u in
its ez to just use logs
void gyro
what year r u in
year 10
dapper wharf
you learn it in yr 12 but its rllt simple to understand
so basically log is a functipn that gives u the power of smth
void gyro
you learn it in yr 12 but its rllt simple to understand
i got igcse test in the next 2 days
void gyro
so basically log is a functipn that gives u the power of smth
r there other way?
dapper wharf
say you got 3^n=9
dapper wharf
i got igcse test in the next 2 days
thats supoosed to be in yr11
void gyro
what???
dapper wharf
that means 1/125 is 5^-3
void gyro
thats supoosed to be in yr11
i got early
dapper wharf
ahh
void gyro
my school suck
dapper wharf
oof
void gyro
that means 1/125 is 5^-3
1/125 is 5^n
void gyro
and 125 is 5^3
n is 3?
void gyro
?
dapper wharf
okay fine
polar locust
lets see ur question
(r^3+4r^2+r-10)÷(r+3) and (2v^-3v^2+4v+5)÷(18+2v^2+7v)
void gyro
void gyro
I really dont know
It can do normal calculation like sohcahtoa and basic stuff
Though
dapper wharf
wiait i see
its put it as a decimal
times ur answer by 125 and you should get 1
use this calculator
void gyro
Yes
dapper wharf
(r^3+4r^2+r-10)÷(r+3) and (2v^-3v^2+4v+5)÷(18+2v^2+7v)
match the r in the r+3 to every term. so itll be smth liek this
void gyro
isnt all of this just have to find the value of N
dapper wharf
ye
rn its to show u that any number to the power of -1 is the 1/that number
so a^-1=1/a
void gyro
Whats tp
dapper wharf
(r^3+4r^2+r-10)÷(r+3) and (2v^-3v^2+4v+5)÷(18+2v^2+7v)
u sure u typed it right
void gyro
And whats that?
dapper wharf
wdym
void gyro
rn its to show u that any number to the power of -1 is the 1/that number
This example means any number, if we put ^-1 on it. Means that the result will be the same as 1/original number?
polar locust
u sure u typed it right
that should be -3v^2 ;-;
dapper wharf
This example means any number, if we put ^-1 on it. Means that the result will b...
yes
dapper wharf
that should be -3v^2 ;-;
what about the r bit
remember you have to match the r to the first term, so you gotta find smth that times r to get r^3
and then times that number for 3 and subtract the first 2 terms and repeat
polar locust
what about the r bit
yes i typed it right
dapper wharf
ok
dapper wharf
yes i typed it right
sorry but igtg rn
polar locust
sorry but igtg rn
thats fine, take care
void gyro
...
dapper wharf
thats fine, take care
thx
obtuse pebbleBOT
@void gyro Has your question been resolved?
obtuse pebbleBOT
@void gyro Has your question been resolved?
obtuse pebbleBOT
@void gyro Has your question been resolved?
obtuse pebbleBOT
@void gyro Has your question been resolved?
rustic harbor
Guys why are you talking about logs when it's a secondary school type of problem
@void gyro
You can see that you have a question with a power, so do you know your exponent rules ?
strange belfry
to be systematic and exact ig
royal karma
obtuse pebbleBOT
royal basin
don't these differ by a constant?
,w simplify x^8/8 + x^6/2 + 3x^4/4 + x^2/2 - (x^2+1)^4/8
warm shaleBOT
crude veldt
obtuse pebbleBOT
crude veldt
is it f(2/5(0))
so then the point stays the same?
or does the new point become (0, 2/5)
rigid lintel
so then the point stays the same?
you had it right here
crude veldt
so it is unchanged because it is an invariant point
rigid lintel
i wouldnt bring any unnecessary terminology in here
timid silo
what grade it is?
crude veldt
pre calc 12
timid silo
12th grade?
crude veldt
yeah
rigid lintel
no need to flex
robust sleet
I learnt it in pregarden
obtuse pebbleBOT
@crude veldt Has your question been resolved?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
jade wedge
Why do I keep getting banned from Discord servers?
obtuse pebbleBOT
Why do I keep getting banned from Discord servers?
cedar lichen
This isn't a math question
jade wedge
Yes it is
strange belfry
can see why
cedar lichen
This is why you get banned from servers
rigid lintel
well somebody kept sending explicit gifs
not saying that was you
but the timing is suspicious
tardy epoch
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
silver plover
obtuse pebbleBOT
robust sleet
(Nested piecewise first time seeing it)
silver plover
(Nested piecewise first time seeing it)
?
obtuse pebbleBOT
@silver plover Has your question been resolved?
unreal musk
shouldnt the t's be s's no?
Variable names, doesn't matter(?)
unreal musk
Could rename the t's or s's to be whatever you like?
silver plover
makes sense to use s
silver plover
Could rename the t's or s's to be whatever you like?
oh i see
I thought they were respective
Ie
U1 is s
unreal musk
I mean, it would be neater, but you could e.g. write that as f(p)
silver plover
And u2 is t
silver plover
I mean, it would be neater, but you could e.g. write that as f(p)
True
silver plover
To whoever wrote that <:monkey:651816857153699840>
my uni LNs
r
tragic
Btw just doing worksheet questions now
I’ve completed the theory for my prob stats course
Finished it in like a week
Not bad
unreal musk
Nice nice, good progress 💪
silver plover
Where's the analysis and algebra at <:catlove:920698762932920370>
Algebra two chapters left
Imma do one tmr
That chapter is vectors
Imma do more calculus revision tho tmr since that exam is on Wednesday
unreal musk
Imma do one tmr
I'll be preeing tomorrow then 
unreal musk
Imma do more calculus revision tho tmr since that exam is on Wednesday
Calculus
silver plover
Ye so vectors and calculus tmr
unreal musk
Nice nice, beautiful 
unreal musk
I have, but some time ago tbh
Stuff like prove the naturals and rationals have the same cardinality, prove the reals are uncountable, the power set has a greater cardinality than the set itself?
silver plover
Stuff like prove the naturals and rationals have the same cardinality, prove the...
ye that
U wanna see my mock paper
I can DM it to u
bronze ferry
just to be sure, with this matrix:
2 & 5 & 7
0 & 3 & 4
0 & 0 & 1
the rank of this matrix is 3 because in the pivot position i have all numbers that are not 0?
obtuse pebbleBOT
just to be sure, with this matrix:
2 & 5 & 7
0 & 3 & 4
0 & 0 & 1
the rank of t...
@bronze ferry Has your question been resolved?
nocturne minnow
just to be sure, with this matrix:
2 & 5 & 7
0 & 3 & 4
0 & 0 & 1
the rank of t...
Yes
spice chasm
what to do from here
obtuse pebbleBOT
what to do from here
spice chasm
i got this far
unreal musk
Ouch, where are you getting these questions from 
,w log(x+1)/log(3) - log(3x+1)/log(5) = log(x-1)/log(7)
spice chasm
Ouch, where are you getting these questions from <:monkey:651816857153699840>
i just made it up cuz idk how to solve logs with different bases
unreal musk
Not sure, but I don't think it'll be anything trivial to find
unreal musk
i just made it up cuz idk how to solve logs with different bases
Ahhh I get you, fair dos then, well that one is pretty tough imo
hollow kestrel
i just made it up cuz idk how to solve logs with different bases
those all have the same base
spice chasm
i mean the original question
unreal musk
those all have the same base
hollow kestrel
ahh ok
spice chasm
is there an identity for logarithm sum for like log(a+b)
unreal musk
Not really that I know of, closest I know of is series expansion (and that comes with its own limitations)
unreal musk
Let me see if I can spot one for you, let me do some digging through my post history
Ah here's one, if you haven't seen it before
There was another one but I can't seem to find it 
It was a "solving" one where there were like many steps to it, but I can't seem to get it
obtuse pebbleBOT
@spice chasm Has your question been resolved?
thorn elbow
for a) do i just have to add (x1+x2+x3 , y1+y2+y3) or is there something different i need to do?
obtuse pebbleBOT
for a) do i just have to add (x1+x2+x3 , y1+y2+y3) or is there something differe...
dark stirrup
yes add them
thorn elbow
yes add them
whats the equilibrant??
wouldnt it be just like the resultant but reversed
fierce lagoon
Just multiply the resultant by a scalar multiple of -1
tall tusk
obtuse pebbleBOT
nocturne minnow
can anyone explain the last 3
With the power of google
fierce lagoon
Parametric I get
true granite
ok so I get the parametric form, it's the same concept as the standard equation (y=mx+c) but you can change the rate at which the value of x changes as t increases
true granite
the first three are the ones you'll use 99% of the time tbh
fierce lagoon
If $\vecb{b, a}$ is a vector on the line, and you have a point, $(x_0, y_0)$, then the line can be parameterized as:
$${x(t), y(t)} = {x_0, y_0} + t{b, a}, t\in\bR$$
warm shaleBOT
Umbraleviathan
fierce lagoon
If you were to separate the sets and all that funny shit you get what the image has
timid silo
for the parametric form, what you are doing is that you are representing a line parallel to some vector v, which will be a scalar multiple of that vector
like
[
\bold{r} = \bold{r_0} + s\bold{v}
]
warm shaleBOT
♡Lex♡
timid silo
Suppose that $L$ is a line in space passing through a point $P_0(x_0 , y_0 , z_0)$ parallel to vector $\bold{v} = v_1 \bold{i} + v_2 \bold{j} + v_3 \bold_{k}$ then $L$ is the set of all points $P(x,y,z)$ for which $\bold{P_0 P}$ is parallel to $\bold{v}$
warm shaleBOT
♡Lex♡
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
timid silo
so from that, you can say $\bold{P_0 P} = t\bold{v}$ for some scalar parameter t
warm shaleBOT
♡Lex♡
nocturne minnow
the first three are the ones you'll use 99% of the time tbh
Parametric form like 50% of the time in linear algebra
true granite
I was gonna mention linear algebra
but unless you're working with that, you prob won't use it
but it's useful to know nonetheless
timid silo
**♡Lex♡**
the value of t depends on the location of the point, but usually $t \in (-\infty, \infty)$
warm shaleBOT
♡Lex♡
timid silo
**♡Lex♡**
anyways the expanded form of $\bold{P_0 P} = t\bold{v}$ is this:
[
(x- x_0)\bold{i} + (y-y_0)\bold{j} + (z-z_0) \bold{k} = t(v_{1}\bold{i} + v_{2} \bold{j} + v_{3}\bold{k})
]
which you then can rewrite as
[
x\bold{i} + y\bold{j} + z\bold{k} = x_{0} \bold{i} + y_{0}\bold{j} + z_0\bold{k} +t(v_{1}\bold{i} + v_{2}\bold{j} + v_3 \bold{k})
]
nocturne minnow
anyways the expanded form of $\bold{P_0 P} = t\bold{v}$ is this:
\[
(x- x_0)\bol...
warm shaleBOT
♡Lex♡
timid silo
there ya go i somehow inserted an underscore in there lol
basically we need to take r and theta as components, and break them
into x and y comp
thats it
timid silo
**♡Lex♡**
oh and from this you can just say
[
\bold{r(t)} = \bold{r_{0}} + t\bold{v} = \begin{cases} & x_0 + v_{1}t \ & y_0 + v_{2}t \ & z_0 + v_{3}t \end{cases}
]
warm shaleBOT
♡Lex♡
warm shaleBOT
♡Lex♡
timid silo
I just like bolding vectors instead 
obtuse pebbleBOT
@tall tusk Has your question been resolved?
timid silo
whats AMC
wise talon
american math competition?
the indian jee just feels like memorizing equations to me tbh
zenith raft
that’s a lot of hours 😭
timid silo
LMAO what a gamer you are
respect for still playing that tho, thought it died
ayo add me on steam 😋
good
😔
honestly yeah games suck the life out of you, i only ever play nowadays if it was with some friends
wait i forgot why is this channel open again
whats ur question
i guess this is fine in 2D?
feels odd doe
i would suggest doing what i did with the parameterisation of a line since it is more general for 3D as well
obtuse pebbleBOT
timid silo
oop
tardy epoch
Way to jynx it
obtuse pebbleBOT
Available help channel!
timid silo
man a lot of chinese speakers here, it makes me jelly
crude veldt
obtuse pebbleBOT
warm shaleBOT
crude veldt
so it should be 5
wise talon
,w plot y=x^2 and y=5x^2
crude veldt
because its being compressed
warm shaleBOT
crude veldt
then horizontal expansion
wise talon
it should just say "scale factor 1/5"
wise talon
thats just poor phrasing tho....
well I'll leave that as an exercise for you to figure out
crude veldt
¯_(ツ)_/¯
thanks
also wait
theres an even worse phrasing
like
the last possible answer
is correct in its term
but has nothing to do with horizontal reflection
wise talon
yeah these phrasings are terrible
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
modern linden
Why is derivative of x^2 equal to 2x? Because (x+1)^2 - x^2 equals 2x + 1 and difference in y between x 3 and 4 equals not 6, but 7
obtuse pebbleBOT
Why is derivative of `x^2` equal to `2x`? Because `(x+1)^2 - x^2` equals `2x + 1...
fierce lagoon
The limit definition
strange belfry
because derivative isn't the slope that's defined by the secant line going from f(x+1) and f(x)
fierce lagoon
It's the slope of the tangent line for some x
So you're gonna have to calculate this limit:
$$\lim_{h\to 0}\frac{(x+h)^2 - x^2}{h}$$
warm shaleBOT
Umbraleviathan
fierce lagoon
**Umbraleviathan**
@modern linden
strange belfry
basically like calculating the slope of a "linear line" but the difference between the considered x values tends to 0 where as it would be a constant that is bigger than zero otherwise
modern linden
<@332529807839723520>
Am thinking
modern linden
**Umbraleviathan**
something like 0/0?
fierce lagoon
You can't say it's 0/0
strange belfry
kinda
fierce lagoon
You need to do some manipulation
modern linden
So I need to know limits first?
wise talon
h is not actually 0 btw
fierce lagoon
Learn limits first lol
wise talon
if you use the eps-delta definition
fierce lagoon
$$\begin{align*}
\lim_{h\to 0}\frac{(x+h)^2 - x^2}{h} &= \lim_{h\to 0}\frac{\parens{x^2 + 2hx + h^2} - x^2}{h} \
&= \lim_{h\to 0}\frac{2xh + h^2}{h} \
&= \lim_{h\to 0}\parens{2x + h} \
&= 2x
\end{align*}$$
warm shaleBOT
Umbraleviathan
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
modern linden
but h isn't 0
fierce lagoon
Eh yeah, h just approaches 0
If you use the stupid epsilon delta thing (that I totally remember how to do 
) you'll find it ain't actually 0
wise talon
for all eps > 0 there exists a delta > 0 such that when
fierce lagoon
That I know because I tried fighting my teacher about this for Calc BC and he whips out the good old eps delta shit
fierce lagoon
Then h can't be 0
wise talon
yup
modern linden
|f(x)-L|< eps
modern linden
So you wanna say derivative simply ignores the h because it's too small on small scale?
modern linden
Then it doesn't ignore it?
wise talon
I'm afraid I might be confusing you
modern linden
I'd like to have the correct comprehension actually
wise talon
You're going to need real analysis
modern linden
But you throw some latin letters at me
modern linden
Even worse
strange belfry
I don't think consepts like epsilon-delta definition or real analysis is needed for first getting the idea of a limit
wise talon
the closer you get to L you can always pick some x to plug into f(x)
modern linden
So the definition of derivative is bound to limits? Basically built on them?
wise talon
yeah
strange belfry
understanding the consept of approaching would help better if you're new
wise talon
or rather not pick some x
near jacinth
Can anyone cross check these answers for me? I have no help and I don’t have a solution manual to check the answers, any help would be appreciated. Thanks in advance
obtuse pebbleBOT
Can anyone cross check these answers for me? I have no help and I don’t have a s...
unreal musk
16 should have a hollow hole in it at (0, 1), and also what happened with the “middle discontinuity”? While you can have it don’t see why you chose to, but if you do, make sure you put hollow holes at the end of the “pieces”
(Otherwise you could be seen to be implying your function is such that f(0)=1 and f(0)= -1)
Similar with 17 and (-2,2) being hollow
18 is cool with me, at least the idea
obtuse pebbleBOT
@near jacinth Has your question been resolved?
near jacinth
specifically for x->0+ f(x) =2
Aaah right its positive
near jacinth
(Otherwise you could be seen to be implying your function is such that f(0)=1 an...
Right! thankyou so much for that!
meager aspen
Can someone help with this integral
obtuse pebbleBOT
Can someone help with this integral
meager aspen
I tried integtating it by thinking x^2 as a constant, integrated and got -e^(x^2/y)/x^2 but when i differentiated it again i didn't get the same thing
timid silo
that wont have an elementary antiderivative i believe
can you approximate it? maybe with gamma functions
timid silo
i don't see how it will even converge in the state it is in too
meager aspen
that wont have an elementary antiderivative i believe
Yeah, iirc the professor said that the answer will be something like a 0 or 1, can be integrated in elementary functions
timid silo
,w int_0^inf int_x^inf e^(x^2/y)dydx
warm shaleBOT
timid silo
,w does int_0^inf int_x^inf e^(x^2/y)dydx converge
meager aspen
, w integrate e^(x^2/y)dy
warm shaleBOT
Requested by ♡Lex♡#5050
meager aspen
timid silo
,w convergence int_0^inf int_x^inf e^(x^2/y)dydx
trail cloak
,w evaluate integral from 0 to infinity (integral from x to infinity of e^{{x^2}/y} dy)dx
timid silo
okay whatever, no matter what u will get you definitely are not figuring it out with elementary functions
meager aspen
Yeah
warm shaleBOT
meager aspen
Thanks for the help you two, really appreciate it
timid silo
yeah like i thought
meager aspen
timid silo
anytime!
trail cloak
obtuse pebbleBOT
@meager aspen Has your question been resolved?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
radiant briar
I have to justify these interphases with a drop-down choice. The intention is to lead the formula for integration by parts.
I can't get it correct, need a little help here...
The options are (roughly translated to english)
- Product rule formula
- integrate both sides
- subtract the same term from both sides
- quotient rule
- product integration rule
- int (h(x))dx = h(x) + C
- D(int(h(x)dx))=h(x)
As it stands, I have no use for the quotient rule, the formula where the + C is used as it's useless here, subtraction of the same term from both sides as it doesn't seem to happen here, product integration rule as such a thing does not exist. Am I correct? I have no idea if the same answer can be used twice. But I've played around with different answers and none of them are correct. IMO the correct answer is
product rule formula,
product rule formula,
integrate both sides,
integrate both sides.
obtuse pebbleBOT
I have to justify these interphases with a drop-down choice. The intention is to...
obtuse pebbleBOT
@radiant briar Has your question been resolved?
obtuse pebbleBOT
@radiant briar Has your question been resolved?
timid silo
Wtf are you learning
radiant briar
yes
obtuse pebbleBOT
@radiant briar Has your question been resolved?
strange belfry
I think integration by parts is what you're looking for, seems like you had almost derived the formula
radiant briar
nope
I have to justify integration by parts by leading the formula with dropdown choices from the menu above
junior needle
WHAT IS 1+1
obtuse pebbleBOT
@radiant briar Has your question been resolved?
turbid wing
Product rule formula
subtract the same term from both sides
integrate both sides
obtuse pebbleBOT
@radiant briar Has your question been resolved?
radiant briar
Product rule formula
subtract the same term from both sides
integrate both sides
theres 4 boxes to click, not 3. but i suspected you meant 2x product and those 2 for the final ones. nope didnt work haha....
obtuse pebbleBOT
@radiant briar Has your question been resolved?
tight oasis
theres 4 boxes to click, not 3. but i suspected you meant 2x product and those 2...
You're not asking a question, nobody will help you if you're not more precise
tight oasis
This is the "integration by parts" formula
radiant briar
4 boxes to select, what is the correct order of answers, imo it is [mentioned above], but it's not. 🤷
tight oasis
4 boxes to select, what is the correct order of answers, imo it is [mentioned ab...
Where are the 4 boxes and what even is the question?
OH I'm blind af sorry
radiant briar
I hid them as theyre not in english haha
tight oasis
What is your langage?
radiant briar
Finnish
tight oasis
I have to justify these interphases with a drop-down choice. The intention is to...
So your first guess is right: we use the product rule formula i.e. that D(fg)=Df.g+f.Dg
Your second guess is wrong, try to with about what happened between the first and the second line, how is the equivalence derived?
Your third guess is also correct: we simply integrate both sides resulting in the integral symbol appearing (and appearing twice on the right hand side by linearity)
Your last guess is also wrong, we are not integrating both sides in the last step. We are using another identity between the third and fourth line
radiant briar
Thanks, got it correct now!
radiant briar
.close
autumn charm
it's a geometry question, I'd love if someone who speaks French could help me because the my notes are in French, my question is: what's the difference between 'vecteur colineaire/non colineaire/coplanaire, the lesson name is 'Droites et Plans de l'espace'
obtuse pebbleBOT
it's a geometry question, I'd love if someone who speaks French could help me be...
royal basin
.close
obtuse pebbleBOT
obtuse pebbleBOT
✅
autumn charm
lol
royal basin
(was gonna close this channel bc i saw you typing in the other one)
anyway
on ne dit jamais d'un SEUL "vecteur (non) colinéaire" ou d'un SEUL "vecteur coplanaire"
la colinéarité et la coplanarité sont des propriétés qui peuvent être possédées par les ENSEMBLES d'au moins 2 (pour la colinéarité) ou 3 (pour la coplanarité) vecteurs
on dit qu'une couple de vecteurs {v, w} est colinéaire, ou alors que v et w sont colinéaires, s'il existe une constante réelle α non nulle telle que v = αw
autumn charm
sorry interrupt, but I also got another question, I don't really understand the concept of 'vecteur directeur/normale'
royal basin
tu sais imaginer les vecteurs comme des petites flèches avec une longueur et une direction fixes mais sans position fixe, oui ?
autumn charm
tu sais imaginer les vecteurs comme des petites flèches avec une longueur et une...
oui
royal basin
au sens géométrique une couple de vecteurs est colinéaire si leurs directions sont les mêmes ou directement opposées
(si le scalaire est négatif)
autumn charm
okay makes sense
mais pour la colineairite, sur ce cours en ligne le prof a donné ca
é
mais au classe
royal basin
ah, c'est en termes de coordonnées hein
royal basin
moi, j'essaie de donner une perspective plus visuelle
autumn charm
ah okay
royal basin
a/a' = b/b' = c/c'
fais attention c'est un mauvais choix de notation
autumn charm
sorry if im being a pain, im not really good at maths and am trying to become better
royal basin
pour la coplanarité c'est un peu plus compliqué à mettre en symboles et de comprendre la relation entre ces derniers et la géométrie, mais:
on dit qu'un trio de vecteurs {u, v, w} est coplanaire, ou alors que u, v et w sont coplanaires, s'il existe un trio de scalaires (α, β, γ) ≠ (0, 0, 0) tel que αu + βv + γw = 0
au sens géométrique ça signifie qu'il existe un plan qui est parallèle à la fois à tous les trois
royal basin
sorry interrupt, but I also got another question, I don't really understand the ...
un vecteur directeur pour une ligne droite est simplement un vecteur quelconque parallèle à la droite en question
et un vectur normale pour un plan, c'est un vecteur qui est à un angle de 90° avec tout vecteur dans le plan
royal basin
yw
tardy epoch
TIL Ann speaks french
royal basin
TIL Ann speaks french
what, you didn't see me speak it before?
autumn charm
TIL Ann speaks french
LEGIT GOT ME SCREAMING
tardy epoch
don't think so, probably because we're in such different time zones. not many french questions. the usual helpers i've seen speak french are herels and mateo
jovial karma
might be simple question, but in (r,theta) how did we get r here after finding the theta?
obtuse pebbleBOT
might be simple question, but in (r,theta) how did we get r here after finding t...
jovial karma
a little confused because I'm doing multivar calc but my calc 1 and 2 didnt cover polar
tardy epoch
polar coordinates is a high school trig / pre-calc topic
jovial karma
I didn't take pre-calc or highschool trig 😦
jovial karma
oh I get it now LOL
thank you!
that textbook is much nicer
@tardy epoch
.close
wooden sedge
obtuse pebbleBOT
sage geode
Clearly B, no?
thick oracle
You know when a line intersects a plane when the dotted line turns into a straight line
obtuse pebbleBOT
thick oracle
Np
obtuse pebbleBOT
Available help channel!
uneven night
obtuse pebbleBOT
uneven night
i have to use maclauren but i dont know how to complete it
uneven night
thank you brother
spiral knot
thank you brother
anytime bro
warm shaleBOT
Mehdi_Moulati
obtuse pebbleBOT
@uneven night Has your question been resolved?
timid silo
please help me derivate that
obtuse pebbleBOT
please help me derivate that
timid silo
in order to get the f'
tardy epoch
do you know quotient and chain rule
obtuse pebbleBOT
@timid silo Has your question been resolved?
tardy epoch
sounds good
obtuse pebbleBOT
@timid silo Has your question been resolved?
obtuse pebbleBOT
@timid silo Has your question been resolved?
turbid kettle
Is there a way to stop a ti-84 from referencing previous solutions? I tried resetting the ram and data.
obtuse pebbleBOT
Is there a way to stop a ti-84 from referencing previous solutions? I tried rese...
turbid kettle
Should I just manually delete the Ans everytime
It only recently started doing this
vestal thorn
Is there a way to stop a ti-84 from referencing previous solutions? I tried rese...
if you do an operation, it will automatically put an ans there
like if you do 2+2
then you start your next one with +3
it will display ans+3
vestal thorn
Is there a way to stop a ti-84 from referencing previous solutions? I tried rese...
here though, it looks like you're using a subtraction symbol instead of a negative sign
the negative is under the 3
vestal thorn
🙏
silver plover
hello
tardy epoch
silver plover
multiply all the equation with the denominator of the LHS
wdym
spiral knot
$\frac{x}{(x-1)(x-2)(x-3)} * (x-1)(x-2)(x-3) = \qty(\frac{A}{x-1} + \frac{B}{x-2} + \frac{C}{x - 3} ) * (x-1)(x-2)(x-3)$
warm shaleBOT
Mehdi_Moulati
silver plover
i see
so basically
whatever the denomintaor is
multiply A B and C by all the other brackets
disregarding that denomintor
if that makes sense?
so denominator of A is x-1
so itll be A(x-2)(x-3)?
spiral knot
so itll be A(x-2)(x-3)?
yes
silver plover
.close
obtuse pebbleBOT
spiral knot
you have an exam Wednesday , Right ?
obtuse pebbleBOT
Available help channel!
silver plover
you have an exam Wednesday , Right ?
ye
silver plover
silver plover
you need to give yourself some rest
just doing light revision
spiral knot
correct
vestal thorn
looks like they defined tan(x/2) to be t
spiral knot
sin(x/2) = tan(x/2)cos(x/2)
silver plover
mhm
vestal thorn
!help
vestal thorn
bruh
silver plover
i see
warm shaleBOT
Mehdi_Moulati
spiral knot
cheers mehdi
anytime bro
obtuse pebbleBOT
Available help channel!
astral magnet
obtuse pebbleBOT
brave bramble
When t = 98, what is A(t)?
(I suggest using the half life equation for half-life questions)
astral magnet
I have no clue
i have a(t)=ao(1/2)^98/h
i believe i have to solve for h since half life
brave bramble
A(t) represents the amount present at time t
astral magnet
yes
brave bramble
That's okay. It will divide out
astral magnet
and also if the exponent is t/h
im not sure man the resource says half life solving requires finding h
brave bramble
It does. You'll need to grab h.
In order to do that, you'll need to correctly use the information present in the question, such as when t = 98, A(t) = 0.75A0
astral magnet
oh holy shit
wait
when it says decay to 25% of its original amount
does that mean the remaining is 25 percent of the orinal amount
or is it a 25 percent decrease
nvm
idk im so puzzled
im told to assume 100mg sample
obtuse pebbleBOT
@astral magnet Has your question been resolved?
brave bramble
25% of the original amount disappears
Good start! You'll need logs to continue
@astral magnet
obtuse pebbleBOT
@astral magnet Has your question been resolved?
timid silo
i gotta find the equation of a cos funtion with the points (4,72) and (24,56)
vestal thorn
Show your work, and if possible, explain where you are stuck.
timid silo
so first i did
to find the middle
/ the
c value
sorry 72+56/2
which i got 64
so thats my c value
then i did
72-56/2
to find the amp
which is also the a value
which i got
8
then i did 44-4
to find
the period
which is 40
then did
360/40
and i got 9
as my
k value
so i chose a cos funtuon
cause
im starting at the top
so my final thing was
f(x)=8cos(9(x-4))+64
what did i do wrong
bold bane
Were there other givens? There are four unknown values so you would need at least four data points to determine their exact values.
bold bane
No amplitude or center line?
bold bane
No, you can't.
bold bane
Oh, those points are max and mins?
timid silo
Oh, those points are max and mins?
yeah
(4,72) is the max
and
(24,56)
is the min
bold bane
You should be able to figure out P and H from this.
timid silo
p is 9
adn
h is 4
f(x)=8cos(9(x-4))+64
thats what i got
x-4
cause
the first point
is
(4,72)
so it woukd be -4
cause like it dont start at 0
thw p val
is like
360/ the period
the period
is 40
so the p val
is 9
@bold bane
bold bane
Sorry, was solving the problem.
So the period and horizontal values you found are incorrect.
timid silo
why tho
bold bane
One moment. Let me go through what your wrote.
Oops, I wrote something down wrong and got an incorrect answer.
Give me a moment to fix it.
Ok, fixed.
timid silo
how
bold bane
Yes.
bold bane
I see what you are talking about.
timid silo
bold bane
So you have half of the period which was 20 which means the total period is B=40 which means that P=2pi/40, or pi/20.
timid silo
why pi tho
i was taught that
k=360/period
or ih
ig
op
p
in this case
so
p=360/period
bold bane
360 is 2pi.
bold bane
$P = \frac{2\pi}{40} = \frac{\pi}{20}$
warm shaleBOT
Kookiemon
timid silo
its 9 tho
bold bane
bold bane
You have the period now. You can enter the equation yourself now. It appears everything else you have is correct.
bold bane
The period is not 9.
timid silo
360/40
warm shaleBOT
Kookiemon
timid silo
but u said
bold bane
Degrees are a measure of rotation while radians are a measure of length.
bold bane
My apologies for confusing you.
timid silo
360 is 2pi.
this
bold bane
But you do not use degrees when solving this type of equation, you should always use radians.
timid silo
so 2π/40
bold bane
Yes.
bold bane
Yes.
timid silo
in the equation
bold bane
Correct.
bold bane
Pi is equivalent to 180 degrees, but it has an actual value on the Unit Circle of 3.1415...
bold bane
yw
obtuse pebbleBOT
@timid silo Has your question been resolved?
serene obsidian
Regarding expanding logs
obtuse pebbleBOT
Regarding expanding logs
sage geode
And what's the question?
sage geode
What's confusing you?
serene obsidian
log_3(x+2) I am a bit rusty in my algebra so I don’t know what step I’m missing here
sage geode
Probably a typo, it's supposed to be x + 12
unreal musk
What part are you stuck on? Do you want to simplify it more?
[if you're still stuck of course]
serene obsidian
oh this is an answer key
serene obsidian
What part are you stuck on? Do you want to simplify it more?
I am stuck on the first part lol
serene obsidian
Yea I get the factorization but where did 2u come from?
unreal musk
Factorized
Third time lucky 
serene obsidian
That’s the part where I’m confused on
unreal musk
This 2u?
serene obsidian
Ye
unreal musk
,w expand (u-2)(u^2 + 2u + 4)
warm shaleBOT
warm shaleBOT
robust sleet
Lol
